In [1]} Aouchiche and Hansen introduce, for a connected graph \(G\) , the distance Laplacian matrix \(\mathcal {L}(G)\)  and the distance signless Laplacian matrix \(\mathcal {Q}(G)\)  as follows
\(\mathcal {L}(G) = \emph {Tr}(G)-\mathcal {D}(G)\) 
